Results 61 to 70 of about 775 (194)

Cyclic cubic points on higher genus curves

open access: yesJournal of the London Mathematical Society, Volume 112, Issue 3, September 2025.
Abstract The distribution of degree d$d$ points on curves is well understood, especially for low degrees. We refine this study to include information on the Galois group in the simplest interesting case: d=3$d = 3$. For curves of genus at least 5, we show cubic points with Galois group C3$C_3$ arise from well‐structured morphisms, along with providing ...
James Rawson
wiley   +1 more source

Motivic L-functions and Galois module structures

open access: yesMathematische Annalen, 1996
During the last decades, many results about varieties over global fields were (at least conjecturally) generalized to motives, which today occupy a prominent position in arithmetic algebraic geometry. Using perfect complexes and their determinants, the conjectures of Bloch and Kato about \(L\)-functions were recently extended to motives with ...
Burns, D., Flach, M.
openaire   +1 more source

Harish-Chandra Modules over Hopf Galois Orders

open access: yesInternational Mathematics Research Notices, 2023
AbstractThe theory of Galois orders was introduced by Futorny and Ovsienko [9]. We introduce the notion of $\mathcal {H}$-Galois $\Lambda $-orders. These are certain noncommutative orders $F$ in a smash product of the fraction field of a noetherian integral domain $\Lambda $ by a Hopf algebra ${\mathcal {H}}$ (or, more generally, by a coideal ...
openaire   +2 more sources

Determination of conductors from Galois module structure [PDF]

open access: yesMathematische Zeitschrift, 2002
Let F denote an unramified extension of the cyclotomic extension of Q_p by (p^n)th roots of unity, for an odd prime p. We determine the conductors of those Kummer extensions of F of degree dividing p^n which are Galois over the maximal unramified subfield of F. This follows from a comparison of the Galois module structure of the multiplicative group of
openaire   +3 more sources

Galois module structure of Milnor K-theory in characteristic p [PDF]

open access: green, 2004
Ganesh Bhandari   +3 more
openalex   +1 more source

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